{"article_number":"19","date_published":"2018-09-01T00:00:00Z","volume":21,"type":"journal_article","department":[{"_id":"RoSe"}],"language":[{"iso":"eng"}],"ec_funded":1,"ddc":["530"],"license":"https://creativecommons.org/licenses/by/4.0/","related_material":{"record":[{"id":"52","relation":"dissertation_contains","status":"public"}]},"intvolume":"        21","abstract":[{"text":"We give a lower bound on the ground state energy of a system of two fermions of one species interacting with two fermions of another species via point interactions. We show that there is a critical mass ratio m2 ≈ 0.58 such that the system is stable, i.e., the energy is bounded from below, for m∈[m2,m2−1]. So far it was not known whether this 2 + 2 system exhibits a stable region at all or whether the formation of four-body bound states causes an unbounded spectrum for all mass ratios, similar to the Thomas effect. Our result gives further evidence for the stability of the more general N + M system.","lang":"eng"}],"oa":1,"article_type":"original","file":[{"creator":"dernst","access_level":"open_access","date_created":"2018-12-17T16:49:02Z","file_id":"5729","date_updated":"2020-07-14T12:45:01Z","file_size":496973,"relation":"main_file","content_type":"application/pdf","file_name":"2018_MathPhysics_Moser.pdf","checksum":"411c4db5700d7297c9cd8ebc5dd29091"}],"scopus_import":1,"project":[{"grant_number":"694227","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems"},{"name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","grant_number":"P27533_N27","call_identifier":"FWF","_id":"25C878CE-B435-11E9-9278-68D0E5697425"},{"_id":"3AC91DDA-15DF-11EA-824D-93A3E7B544D1","call_identifier":"FWF","name":"FWF Open Access Fund"}],"has_accepted_license":"1","publication_identifier":{"issn":["13850172"],"eissn":["15729656"]},"date_updated":"2021-01-12T08:01:20Z","issue":"3","file_date_updated":"2020-07-14T12:45:01Z","oa_version":"Published Version","title":"Stability of the 2+2 fermionic system with point interactions","publication_status":"published","publication":"Mathematical Physics Analysis and Geometry","publisher":"Springer","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)"},"author":[{"full_name":"Moser, Thomas","first_name":"Thomas","id":"2B5FC9A4-F248-11E8-B48F-1D18A9856A87","last_name":"Moser"},{"orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","first_name":"Robert","full_name":"Seiringer, Robert"}],"day":"01","user_id":"D865714E-FA4E-11E9-B85B-F5C5E5697425","publist_id":"7767","year":"2018","month":"09","acknowledgement":"Open access funding provided by Austrian Science Fund (FWF).","date_created":"2018-12-11T11:44:55Z","citation":{"chicago":"Moser, Thomas, and Robert Seiringer. “Stability of the 2+2 Fermionic System with Point Interactions.” <i>Mathematical Physics Analysis and Geometry</i>. Springer, 2018. <a href=\"https://doi.org/10.1007/s11040-018-9275-3\">https://doi.org/10.1007/s11040-018-9275-3</a>.","mla":"Moser, Thomas, and Robert Seiringer. “Stability of the 2+2 Fermionic System with Point Interactions.” <i>Mathematical Physics Analysis and Geometry</i>, vol. 21, no. 3, 19, Springer, 2018, doi:<a href=\"https://doi.org/10.1007/s11040-018-9275-3\">10.1007/s11040-018-9275-3</a>.","ieee":"T. Moser and R. Seiringer, “Stability of the 2+2 fermionic system with point interactions,” <i>Mathematical Physics Analysis and Geometry</i>, vol. 21, no. 3. Springer, 2018.","short":"T. Moser, R. Seiringer, Mathematical Physics Analysis and Geometry 21 (2018).","ama":"Moser T, Seiringer R. Stability of the 2+2 fermionic system with point interactions. <i>Mathematical Physics Analysis and Geometry</i>. 2018;21(3). doi:<a href=\"https://doi.org/10.1007/s11040-018-9275-3\">10.1007/s11040-018-9275-3</a>","apa":"Moser, T., &#38; Seiringer, R. (2018). Stability of the 2+2 fermionic system with point interactions. <i>Mathematical Physics Analysis and Geometry</i>. Springer. <a href=\"https://doi.org/10.1007/s11040-018-9275-3\">https://doi.org/10.1007/s11040-018-9275-3</a>","ista":"Moser T, Seiringer R. 2018. Stability of the 2+2 fermionic system with point interactions. Mathematical Physics Analysis and Geometry. 21(3), 19."},"_id":"154","quality_controlled":"1","status":"public","doi":"10.1007/s11040-018-9275-3"}